Answer:
74 degrees
Step-by-step explanation:
As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees
Solve the variables. See the photo below.
Answer:
[tex]x=4; \ y=\frac{8}{\sqrt{3}}.[/tex]
Step-by-step explanation:
1) in the triangle with the angles 45; 90 and 45°: x=4√2/√2=4;
2) in the triangle with the angles 60; 90 and 30°: y=x/sin60°= 4/(√3/2)=8/√3
Answer:
x = 32 y=[tex]\frac{8}{\sqrt{3} }[/tex]
Step-by-step explanation:
solving for x
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} } = \frac{x}{4\sqrt{2} }[/tex]
do cross multiplication
[tex]4\sqrt{2} * 1 = x * \sqrt{2}[/tex]
[tex]\frac{4\sqrt{2} }{\sqrt{2} } = x[/tex]
root 2 and root 2 gets cancel.Then ,
x = 4
solving for y
take 60 degree as reference angle
using sin rule
sin 60 = opposite / hypotenuse
[tex]\frac{\sqrt{3} }{2} = \frac{x}{y}[/tex]
just now we found the value of x i.e 4 now substitute the value of x here.
[tex]\frac{\sqrt{3} }{2} = \frac{4}{y}[/tex]
do cross multiplication
[tex]2*4 = y * \sqrt{3}[/tex]
[tex]\frac{8}{\sqrt{3} } = y[/tex]
What is true when a system of equations has no solution?
Answer:
the set of possible solutions is the empty set {}.
or, whatever the equations describe is impossible.
or,... there can be many answers, depending on whatever the context of this question is.
Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list. Enter your answers in terms of degrees. Round your answers to two decimal places.) (−3, −5), (2, 6), (6, 3)
Answer:
23.92°, 78.503°, and 77.577°
Step-by-step explanation:
The coordinates of the vertices of the triangle are;
X(-3, -5), Y(2, 6), Z(6, 3)
The vectors are;
z = [tex]\left \langle 2 - (-3), 6 - (-5) \right \rangle[/tex] = [tex]\left \langle 5, 11 \right \rangle[/tex]
y = [tex]\left \langle 6 - (-3), 3 - (-5) \right \rangle[/tex] = [tex]\left \langle 9, 8 \right \rangle[/tex]
x = [tex]\left \langle 2 - 6, 6 - 3 \right \rangle[/tex] = [tex]\left \langle -4, 3 \right \rangle[/tex]
[tex]cos (\alpha ) = \dfrac{z \cdot y}{\left | z \right | \times \left | y \right |}[/tex]
Therefore, we get;
[tex]cos (\alpha ) = \dfrac{5 \times 9 + 11 \times 8 }{\left | \sqrt{5^2 + 11^2} \right | \times \left | \sqrt{9^2 + 8^2} \right |} = \dfrac{133}{\sqrt{146} \times \sqrt{145} } \approx 0.91409[/tex]
α = arccos(0.91490) ≈ 23.92°
γ = The angle between -y and x
-y = [tex]\left \langle -9, -8 \right \rangle[/tex]
We get;
[tex]cos (\gamma) = \dfrac{-y \cdot x}{\left | -y \right | \times \left | x \right |}[/tex]
Therefore;
[tex]cos (\gamma) = \dfrac{-9 \times -4 + -8 \times 3 }{\left | \sqrt{(-9)^2 + (-8)^2} \right | \times \left | \sqrt{(-4)^2 + 3^2} \right |} = \dfrac{12}{\sqrt{145} \times \sqrt{25} } \approx 0.199309[/tex]
γ = arccos(0.199309) ≈ 78.503°
γ ≈ 78.503°
By angle sum property, β = 180° - (α + β)
β ≈ 180° - (23.92° + 78.503°) = 77.577°
β ≈ 77.577°
The interior angles are;
23.92°, 78.503°, and 77.577°
Sheldon works in sales and makes a weekly base salary plus a commission based on his sales each week. He earned an extra $120 in commissions from $1,500 in sales last week. Which percent of sales is Sheldon's commission?
Answer:
8%
Step-by-step explanation:
If he earned $120 out of $1500, just do 120/1500 which will give you 0.08 which is 8 percent.
Given the right triangle below what is x? Triangle Side #1 is 4 Triangle Side #2 is 10 Answers: A. 9.2 B.10.8 C. 84 D. 116
Answer:
9.2
Step-by-step explanation:
Using the pythagoras therorem
hyp^2 = opp^2 + adj^2
10^2 = 4^2 _+ x^2
100 = 16 + x^2
x^2 = 100 - 16
x^2 = 84
x = √84
x = 9.2
Hence the value of x is 9.2
A rectangular playground is 8 meters wide. It is 3 times as long as it is wide. What is the area of the playground?
Answer: 192
Step-by-step explanation:
3 x 8 = 24
24 x 8 = 192
16 cm
13 cm
14 cm
CON
Answer:
84cm^2
Step-by-step explanation:
If the table shown below represents a function, then which is the possible value for f?
A. –3
B. 0
C. 2
D. 3
Answer:
C 2
Step-by-step explanation:
This is a parabolic function
Notice how we go negative and then positive
y = ax^2 +bx+c
Let x = 0
-5 = a(0) + b(0) +c
c = -5
y = ax^2 + bx -5
Let x = 3
4 = a(3)^2 +b(3) -5
Let x=-3
4 = a(3)^2 -b(3) -5
Add the two equations
4 = a(3)^2 +b(3) -5
4 = a(3)^2 -b(3) -5
----------------------------
8 = 2a (3)^2 - 10
18 = 2 a(9)
18 = 18a
a =1
Solving for b
4 = 1(3)^2 -b(3) -5
4 = 9 -3b -5
4 = 4 -3b
0 = -3b
0 =b
The equation is
y = (x)^2 -5
Letting y = -1
-1 =x^2 -5
Adding 5 to each side
4 = x^2
Taking the square root of each side
±2 = x
x= ±2
Given the choices
What do u need help with LOL
Identify the slope and the y-intercept of the graph of the linear equation Y = 2 X - 3/4
A. Slope = 2, y-intercept = -3/4
B. Slope = 3/4, y-intercept = 2
C. Slope = 4, y-intercept = -2
D. Slope = -2, y-intercept = 3
Answer:
A)
Step-by-step explanation:
slope is the coefficient of the 'x' term and the y-intercept is the constant
Select the correct answer.
Simplify the expression so there is only one power for each base.
(3-2) = (32.23)
A. 33.23
OB. 32.22
OC. 37:28
OD. 33.2²
Answer:
Your answer for the above equation is D
Which of the following choices will simplify 1 - 5(3 + 2.3)?
44
-60
-36
None of these choices are correct.
Given that 1-5(3+2.3)
follow BODMAS
1-15-11.5
-14-11.5
-25.5
help please which number goes with each number?
rainbowgoldfish123 maybe u can help
if u ever need help again, feel free to ask!
I WILL GIVE BRAINLIEST HELPP PLS
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
a = a
b = 9
c = 15
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 9² = 15²Evaluate exponents: a² + 81 = 225[Subtraction Property of Equality] Subtract 81 on both sides: a² = 144[Equality Property] Square root both sides: a = 12Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial –16t2 + vt + h. Find the height of the ball after 2 seconds if it was kicked from the top of a 60 foot tall hill at 84 feet per second.
The height of the ball after 2 seconds is 100 feet.
What is the height function?
A height function exists as a function that quantifies the intricacy of mathematical objects. The height of an object, h(t), exists defined by the formula [tex]-16 t^{2}[/tex] + vt + h.
Given: Let, the polynomial equation be [tex]-16 t^{2}[/tex] + vt + h
h = 20 ft and v = 72 ft/s
y = [tex]-16 t^{2}[/tex] + 72t + 20
To estimate the height of the ball after 2 seconds
substitute the value of t = 2, then
y = -16 [tex]\times[/tex] 4 + 72 [tex]\times[/tex] 2 + 20
= -64 + 144 + 20
= 100 feet
The height of the ball after 2 seconds is 100 feet.
To learn more about the height of the object
https://brainly.com/question/1509315
#SPJ2
A scuba diver used the expression below to describe his position in relation to sea level.2 + (negative 20) + 8Which statement could describe the diver's movements?
Answer:
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Step-by-step explanation:
Using the 2 + (-20) + 8 to describe movement relative to sea level ;
2 can be taken as the starting point, positive values represents elevation above sea level ;
2 can be taken as 2 feet platform above sea level ;
- 20 represents distance dived from platform, negative signifies elevation below sea level ; the distance dived relative to sea level is (-20 + platform height)
(-20 + 2) = - 18
8 feets means a final elevation of 8 above sea level (positive value).
What’s the range of 27, 28, 34, 34, 40, 43, 47, 50
Answer:
23
Step-by-step explanation:
you subtract 50 the max number from 27 the Lowest number
With the help of a conservation program, the number of
lions in a wildlife preserve increased from 25 to 40 over a short period of
time. What is the percentage increase in the number of lions? Round your
answer to the nearest tenth of a percent.
A) 15.0%
B) 37.5%
C) 60,0%
D) 62.5%
Answer:
b
Step-by-step explanation:
no clue just copied someone else tehehe
Solve for x. Round your answer to the nearest tenth.
Answer:
19.2
Step-by-step explanation:
(cos^-1)(17/18)
Solve for. . Write your answer as “x=__”
Answer:
x=50
Step-by-step explanation:
Since it's a straight line, 3x-20+x=180. 4x=200, x=50
Por el festival del Día de las Madres, los alumnos de la secundaria José Martí harán arreglos de flores para adornar los salones. Cada arreglo contiene 14 alcatraces, 7 girasoles, 6 orquídeas, 84 rosas, 12 tulipanes, 9 geranios y 33 lilas. Si en la escuela hay 17 salones, ¿cuántas flores deberán comprar en total?V
Answer:
2805
Step-by-step explanation:
Each arrangement contains 14 calla lilies, 7 sunflowers, 6 orchids, 84 roses, 12 tulips, 9 geraniums, and 33 lilacs. If there are 17 classrooms in the school, how many flowers will they have to buy in total?
This is calculated as:
17 ( 14 calla lilies+ 7 sunflowers + 6 orchids + 84 roses + 12 tulips + 9 geraniums + 33 lilacs)
= 17 × ( 165 flowers)
= 2805 flower
Let f(x) =3x-3 and g(x) = 21
evaluate
(-25)(-1)
PLZ ANSWER, I'LL GIVE BRAINLIEST TO BEST EXPLAINATION!!
I need to finish by tonight!
Answer:
- 1
Step-by-step explanation:
[tex]3 + \sqrt{10 - {3}^{2} } - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = - 1[/tex]
because 3² = 9
and root {1} = 1
Which survey is most likely affected by bias
A) a server asking randomly selected bike riders if they wear a helmet or not.
B. a survey of supermarket shoppers about their favorite grocery store.
C. a survey of randomly selected students and teachers about the cell phone policy in their school district.
Please help! I need it done today ASAP.
It's order operation.
Answer:
total price before sale = 20
total sale price = 5-original price
=5-20
= 15
mr randall bought 4 t-shirt =15×4=60
mr randall paid 60$ for the t-shirt
Inequality for 3x+1>x-1
Answer:
x>-1
Step-by-step explanation:
solve this normally like a linear equation
3x + 1 >x-1
collect like terms
3x-x>-1-1
2x>-2
x>-2/2
x>-1
15 points!
What is the equation of a circle with center (-3,2) and radius 4?
(x - 3)² + (y + 2)² = 16
(x - 3)² + (y + 2)² = 2
(x - 2)² + (y - 3)² = 4
(x + 3)² + (y + 2)² = 2
(x + 3)² + (y - 2)² = 16
(x - 3)² + (y - 2)² = 4
Answer:
(x+3)² + (y-2)² = 16
Step-by-step explanation:
the equation of a circle is
(x-a)² + (y-b)² = r²
with (a,b) being the center, and r the radius.
Solve for X:
-2(x+2) < 14
Answer:
I think the correct answer is
X<-9
Answer:
x >-9
Step-by-step explanation:
-2 ( x + 2 ) < 14
Step 1 :- Distribute -2 .
-2x -4 < 14.
Step 2 :- Move constant to the right-hand side and change their sign . And flip the inequality sign.
-2x > 14 + 4
Step 3 :- Add 14 and 4.
-2x > 18
Step 4 :- Divide both side by -2.
-2x / - 2 > 18 / -2
x = -9
Solve for x. Help me out because I haven’t been paying attention all year
Answer:
x = 18
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x)6 = (8+10)* 8
6*(6+x) = 8(18)
Divide each side by 6
6+x = 8(18)/6
6+x = 8*3
6+x = 24
Subtract 6 from each side
6+x-6 =24-6
x = 18
i need this solved asap!!
Answer:
Step-by-step explanation:
1)3/5
2)0.4
3)0.04
4)94/100 or 47/50
5)1-(0.4+0.35)=0.25->probality of taking a blue ball
0.35+0.25=0.6->probality of taking blue/red ball
6)a)0.01+0.03=0.04
b)1-0.01=0.99
7)a)0.5 b)0.3
8) a-i)0.3+0.25+0.2+0.2+0.1=1.05 probality should be <1
ii)0.05
b)0.45
ii)0.75
iii)0.2